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All the ideas for 'Precis of 'Limits of Abstraction'', 'Modes of Extension: comment on Fine' and 'Truth-making without Truth-makers'

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7 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
There are 'conceptual' explanations, with their direction depending on complexity [Schnieder]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
Any equivalence relation among similar things allows the creation of an abstractum [Simons]
Abstraction is usually seen as producing universals and numbers, but it can do more [Simons]